KiwiBee printable
Approximate the area under a curve: trapezoids
Free printable Calculus math worksheet for "Approximate the area under a curve: trapezoids" — practice introduction to integration. No-prep, print or assign online.
This worksheet guides students through using trapezoids to approximate the area under a curve, reinforcing foundational concepts in numerical integration. Teachers can use it to introduce the trapezoidal rule as a practical method for estimating definite integrals, especially when dealing with non-analytic functions or discrete data. The exercises challenge students to apply, analyze, and interpret trapezoidal approximations, making it ideal for high school calculus classes focused on integration techniques.
Learning objectives
- Calculate the approximate area under a curve using the trapezoidal rule.
- Apply the trapezoidal method to estimate definite integrals from discrete data points.
- Analyze the accuracy of trapezoidal approximations compared to exact integral values.
Answer Key
How to use this worksheet
- Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
- Print at home or in class for High School; it's no-prep, with no extra materials needed.
- Use the included answer key to mark it in seconds.
Likes & comments
See what other teachers think and share a helpful note.
Create more worksheets in our Worksheet Studio
Generate fresh worksheets for any grade, topic, and language — free.
Open the Worksheet StudioRelated worksheets
Approximate the area under a curve: midpoints
Definite integrals and net area
Approximate the area under a curve: left and right endpoints
Evaluate definite integrals using graphs
Properties of definite integrals
Relate Riemann sums and definite integrals
Properties of operations on rational and irrational numbers
For big organisations
For schools
For centers
For team leaders
For teachers
AI and resources
Printable worksheets
Interactive simulations
Teacher tools
AI studio
Ideas and research